Математическое моделирование при планировании экспериментов на трех уровнях факторов. Черный А.А. - 17 стр.

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                 N                                                    N
              ∑ x2n ,u ⋅ x3r ,u ⋅ yu                                 ∑ x3n ,u ⋅ x1r ,u ⋅ yu
              u =1                                                   u =1
 b2 n ,3r =    N
                                              ;       b3n ,1r =       N
                                                                                                 ;
              ∑ ( x2n ,u ⋅ x3r ,u )       2
                                                                     ∑ ( x3n ,u ⋅ x1r ,u )   2

              u =1                                                   u =1
               N                                                     N
              ∑ x3n ,u ⋅ x2r ,u ⋅ yu                                 ∑ x1n ,u ⋅ x2 n ,u ⋅ x3r ,u ⋅ yu
              u =1                                                   u =1
 b3n ,2 r =    N
                                              ; b1n ,2 n ,3r =        N
                                                                                                           ;
              ∑ ( x3n ,u ⋅ x2r ,u )       2
                                                                     ∑ ( x1n ,u ⋅ x2n ,u ⋅ x3r ,u )   2

              u =1                                                   u =1
                 N
                 ∑ x1n ,u ⋅ x3n ,u ⋅ x2r ,u ⋅ yu
                 u =1
b1n ,3n ,2 r =    N
                                                            ;
                 ∑ ( x1n ,u ⋅ x3n ,u ⋅ x2r ,u )         2

                 u =1
                            N
                         ∑ x2n ,u ⋅ x3n ,u ⋅ x1r ,u ⋅ yu
                         u =1
   b2 n ,3n ,1r =         N
                                                                ;
                         ∑ ( x2n ,u ⋅ x3n ,u ⋅ x1r ,u )     2

                         u =1
                     N                                                N
                 ∑ x1r ,u ⋅ x2r ,u ⋅ yu                              ∑ x1r ,u ⋅ x3r ,u ⋅ yu
                 u =1                                                u =1
   b1r ,2 r =     N
                                                  ; b1r ,3r =         N
                                                                                                 ;
                     ∑ ( x1r ,u ⋅ x2r ,u )    2
                                                                     ∑ ( x1r ,u ⋅ x3r ,u )   2

                     u =1                                            u =1
                     N                                                 N
                 ∑ x2r ,u ⋅ x3r ,u ⋅ yu                               ∑ x1n ,u ⋅ x2r ,u ⋅ x3r ,u ⋅ yu
                 u =1                                                 u =1
  b2 r ,3r =      N
                                                  ; b1n ,2 r ,3r =     N
                                                                                                           ;
                 ∑ ( x2r ,u ⋅ x3r ,u )        2
                                                                      ∑ ( x1n ,u ⋅ x2r ,u ⋅ x3r ,u )   2

                 u =1                                                 u =1


                            N
                         ∑ x2n ,u ⋅ x1r ,u ⋅ x3r ,u ⋅ yu
                         u =1
   b2 n ,1r ,3r =         N
                                                                ;
                         ∑ ( x2n ,u ⋅ x1r ,u ⋅ x3r ,u )     2

                         u =1
                         N
                         ∑ x3n ,u ⋅ x1r ,u ⋅ x2 r ,u ⋅ yu
                         u =1
   b3n ,1r ,2 r =         N
                                                                ;
                         ∑ ( x3n ,u ⋅ x1r ,u ⋅ x2r ,u )     2

                         u =1




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